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Aggregative Variational Inequalities.

Aggregative Variational Inequalities.

Authors :
von Mouche, Peter Hubert Mathieu
Szidarovszky, Ferenc
Source :
Journal of Optimization Theory & Applications. Mar2023, Vol. 196 Issue 3, p1056-1092. 37p.
Publication Year :
2023

Abstract

We enrich the theory of variational inequalities in the case of an aggregative structure by implementing recent results obtained by using the Selten–Szidarovszky technique. We derive existence, semi-uniqueness and uniqueness results for solutions and provide a computational method. As an application we derive very powerful practical equilibrium results for Nash equilibria of sum-aggregative games and illustrate with Cournot oligopolies. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00223239
Volume :
196
Issue :
3
Database :
Academic Search Index
Journal :
Journal of Optimization Theory & Applications
Publication Type :
Academic Journal
Accession number :
162584843
Full Text :
https://doi.org/10.1007/s10957-023-02164-w